Pith Number

pith:FLE5KAOO

pith:2012:FLE5KAOO4OKVZSIFBTIIHBKW3C

not attested not anchored not stored refs pending

Singularity links with exotic Stein fillings

Anar Akhmedov, Burak Ozbagci

arxiv:1206.2468 v3 · 2012-06-12 · math.GT · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLE5KAOO4OKVZSIFBTIIHBKW3C}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:51:50.332364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ac9d501cee3955cc9050cd0838556d88bcbebf91720749e98575d09e0df59bd

Aliases

arxiv: 1206.2468 · arxiv_version: 1206.2468v3 · doi: 10.48550/arxiv.1206.2468 · pith_short_12: FLE5KAOO4OKV · pith_short_16: FLE5KAOO4OKVZSIF · pith_short_8: FLE5KAOO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FLE5KAOO4OKVZSIFBTIIHBKW3C \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2ac9d501cee3955cc9050cd0838556d88bcbebf91720749e98575d09e0df59bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9b9ba61af121f15a899e1f3295ac7c5b81a88d7fdfa608516b62034451ee6d",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-12T08:58:09Z",
    "title_canon_sha256": "618f3b80f2b017666e71959633d51c456d4d97ff245822767d41145875ba4aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2468",
    "kind": "arxiv",
    "version": 3
  }
}